Benchmark

non-incremental/QF_BV/brummayerbiere2/smulov2bw256.smt2 

We verify a verification condition for a signed multiplication
overflow detection unit, which is described in
"Combined Unsigned and Two's Complement Saturating Multipliers"
by M. Schulte et al.

Let n be the bit-width of the operands and r the result of the multiplication.
Let ^ denote boolean XOR, + boolean OR, and [i] the bit at position i.
If the overflow detection unit finds an overflow, then it must be the case that
(r[2n-1] ^ r[n-1])  +  (r[2n-2] ^ r[n-1])  +  ...  +  ([r[n] ^ r[n-1]) holds.

Bit-width: 256

Contributed by Robert Brummayer (robert.brummayer@gmail.com).
Benchmark
Size53698
Compressed Size5053
License Creative Commons Attribution 4.0 International (CC-BY-4.0)
Categoryindustrial
First Occurrence2008-07-07
Generated By—
Generated On—
Generator—
Dolmen OK1
strict Dolmen OK1
check-sat calls1
Query 1
Status unsat
Inferred Status unsat
Size 53690
Compressed Size5064
Max. Term Depth519
Asserts 1
Declared Functions0
Declared Constants2
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

ite261 not1 =262 let257
concat6 extract771 bvnot770 bvand1023
bvmul2

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2008 0.86 (1/7) Beaver Beaver-1.0 unknown ❌ 0.50000 —
Boolector Boolector unsat ✅ 12.40000 —
CVC3 CVC3-1.5 unknown ❌ 1801.00000 —
MathSAT MathSAT-4.2 unknown ❌ 1800.80000 —
Spear Spear unknown ❌ — —
Spear v1.9 (fh-1-2) unknown ❌ — —
SWORD SWORD v0.2 unknown ❌ 1801.00000 —
Z3 Z3.2 unknown ❌ 1800.80000 —
SMT-COMP 2010 1.00 (0/3) CVC3 CVC3 2.3 unknown ❌ 1200.20000 —
SONOLAR SONOLAR r252 unknown ❌ 1200.00000 —
STP simplifyingSTP unknown ❌ 1200.00000 —
SMT-COMP 2012 0.57 (3/7) 4Simp 4Simp unsat ✅ 1018.70000 —
Abziz AbzizPortfolio+BOOLECTOR+MATHSAT+SONOLAR+STP2+Z3_6 unknown ❌ 1200.00000 —
Boolector Boolector unsat ✅ 70.20000 —
CVC3 CVC3 v2.4.2 unknown ❌ — —
CVC4 1.0rc.3931 unknown ❌ 1200.00000 —
MathSAT MathSAT-HeavyBV unsat ✅ 135.00000 —
SONOLAR SONOLAR unknown ❌ 1200.00000 —
Z3 Z3 unknown ❌ 1200.00000 —
SMT-COMP 2011 1.00 (0/6) Boolector Boolector 1.5.23-833 unknown ❌ 1200.00000 —
CVC3 CVC3 v2.4 unknown ❌ 1200.30000 —
MathSAT MathSAT5 unknown ❌ 1200.10000 —
SONOLAR SONOLAR unknown ❌ 1200.00000 —
STP simplifyingSTP unknown ❌ 1200.00000 —
STP2 unknown ❌ 385.90000 —
Z3 Z3 unknown ❌ 1200.00000 —
SMT Evaluation 2013 0.33 (6/9) 4Simp 4Simp-SMT-COMP-2012 default unsat ✅ 414.92200 —
Abziz abziz_portfolio_2011_minfeatures_2 default unsat ✅ 65.82120 —
abziz_portfolio_2011_solvers_2 default unsat ✅ 48.59090 —
abziz_portfolio_2012_minfeatures default unsat ✅ 919.42900 —
abziz_portfolio_2012_solvers default unsat ✅ 12.81990 —
AbzizPortfolio-SMT-COMP-2012 default unsat ✅ 48.28160 —
Boolector Boolector-1.5.118-SMT-EVAL-2013 default unsat ✅ 2.81509 —
Boolector-SMT-COMP-2011 default unsat ✅ 34.90900 —
Boolector-SMT-COMP-2012 default unsat ✅ 6.46366 —
CVC3 CVC3-SMT-COMP-2010 default unknown ❌ — —
CVC3-SMT-COMP-2011 default unknown ❌ — —
CVC3-SMT-COMP-2012 default unknown ❌ — —
CVC4 CVC4-SMT-COMP-2012-Resubmission default unknown ❌ — —
CVC4-SMT-EVAL-2013 default unknown ❌ — —
MathSAT MathSAT5-5.2.6-SMT-EVAL-2013 default unsat ✅ 43.62680 —
MathSAT5-HeavyBV-SMT-COMP-2012 default unsat ✅ 46.73160 —
MathSAT5-SMT-COMP-2011 default unsat ✅ 60.12150 —
MathSAT5-SMT-COMP-2012 default unsat ✅ 44.90950 —
SONOLAR SONOLAR-2013-05-15-SMT-EVAL-2013 default unsat ✅ 845.53100 —
SONOLAR-SMT-COMP-2010 default unknown ❌ — —
SONOLAR-SMT-COMP-2011 default unsat ✅ 1386.29000 —
SONOLAR-SMT-COMP-2012 default unsat ✅ 904.24400 —
STP STP2-SMT-COMP-2011 default unsat ✅ 44.18290 —
STP2-SMT-COMP-2012 default unsat ✅ 411.14700 —
simplifyingSTP-SMT-COMP-2010 default unknown ❌ — —
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-EVAL-2013 default unknown ❌ — —
Z3-SMT-COMP-2011 default unknown ❌ — —
SMT-COMP 2014 0.67 (3/9) 4Simp 4Simp - 2014 default unknown ❌ 2399.22000 2400.10000
Abziz abziz_portfolio_all_features default unknown ❌ 2399.22000 2400.06000
abziz_portfolio_min_features default unknown ❌ 2399.22000 2400.04000
Boolector Boolector boolector unsat ✅ 53.17470 53.19490
CVC4 CVC4 f7118b2 default unknown ❌ 1197.24000 2402.16000
MathSAT MathSAT-5.2.12-Main default unknown ❌ 2398.91000 2400.06000
SONOLAR sonolar_smtcomp-2014 default unknown ❌ 2399.21000 2400.03000
STP stp-cryptominisat4 default unsat ✅ 2393.50000 2394.38000
Yices2 Yices-2.2.1-smtcomp2014 default unknown ❌ 2399.12000 2400.06000
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default unsat ✅ 700.31400 700.52700
SMT-COMP 2015 0.57 (3/7) Boolector Boolector SMT15 QF_BV final boolector_qf_bv unsat ✅ 30.63330 30.64430
CVC4 CVC4-master-2015-06-15-9b32405-main default unknown ❌ 2400.32000 4821.66000
CVC4-experimental-2015-06-15-ff5745a-main default unknown ❌ 2400.15000 4824.45000
MathSAT MathSat 5.3.6 main smtcomp2015_main unknown ❌ 2400.01000 2400.21000
SMT-RAT SMT-RAT-final default unknown ❌ 2400.01000 2400.75000
STP stp-cryptominisat4 default unsat ✅ 1966.57000 1967.54000
stp-cmsat4-v15 default unsat ✅ 530.46900 530.53600
stp-cmsat4-mt-v15 default unknown ❌ 2.92480 2.92455
stp-minisat-v15 default unsat ✅ 780.52800 780.81700
Yices2 Yices default unknown ❌ 2400.01000 2400.97000
Z3 z3 4.4.0 default unsat ✅ 658.80900 658.93900
SMT-COMP 2016 0.30 (7/10) ABC ABC_default default_abc unknown ❌ 2400.02000 2401.58000
ABC_glucose glucose unsat ✅ 485.56500 485.88100
Boolector Boolector boolector unsat ✅ 32.56730 32.58500
Boolector preprop boolector unsat ✅ 38.01070 38.03590
CVC4 CVC4-master-2016-05-27-cfef263-main default unknown ❌ 2400.11000 4824.04000
MapleSTP MapleSTP default unknown ❌ 2400.02000 2401.36000
MapleSTP-mt default unknown ❌ 2400.06000 9531.49000
MathSAT mathsat-5.3.11-linux-x86_64-Main default unsat ✅ 662.40200 662.72000
MinkeyRink Minkeyrink 2016 default unsat ✅ 514.82900 1909.87000
Q3B Q3B default unknown ❌ 2400.04000 7203.75000
STP stp-cms-exp-2016 default unsat ✅ 397.01100 397.16200
stp-cms-mt-2016 default unsat ✅ 471.42600 1839.32000
stp-cms-st-2016 default unsat ✅ 469.55900 469.80500
stp-minisat-st-2016 default unknown ❌ 2400.11000 2401.48000
Yices2 Yices-2.4.2 default unsat ✅ 1210.99000 1211.57000
Z3 z3-4.4.1 default unsat ✅ 770.80600 771.19800
SMT-COMP 2017 0.62 (3/8) Boolector Boolector+CaDiCaL SMT17 final boolector unsat ✅ 68.42470 68.40310
Boolector SMT17 final boolector unsat ✅ 129.65800 101.64200
CVC4 CVC4-smtcomp2017-main default unknown ❌ 600.18600 1205.58000
MathSAT mathsat-5.4.1-linux-x86_64-Main default unknown ❌ 600.02600 599.85000
MinkeyRink MinkeyRink 2017.3a default unsat ✅ 337.90200 675.34000
Q3B Q3B default unknown ❌ 600.04500 1784.80000
STP stp_st default unsat ✅ 245.72400 245.69400
stp_mt default unsat ✅ 367.87100 1162.65000
Yices2 Yices2-Main default unknown ❌ 600.10600 600.08000
Z3 z3-4.5.0 default unknown ❌ 600.03000 599.92700
SMT-COMP 2018 0.29 (5/7) Boolector Boolector_default unsat ✅ 48.17280 48.17340
CVC4 master-2018-06-10-b19c840-competition-default_default unsat ✅ 22.96080 22.95930
MathSAT mathsat-5.5.2-linux-x86_64-Main_default unsat ✅ 673.57100 673.48200
MinkeyRink Minkeyrink MT_mt unsat ✅ 479.18500 1895.41000
Minkeyrink ST_st unsat ✅ 737.05800 736.99500
STP STP-CMS-st-2018_default-no-stderr unsat ✅ 1008.02000 1008.01000
STP-CMS-mt-2018_multicore-no-stderr unsat ✅ 425.38400 1677.40000
STP-Riss-st-2018_riss-no-stderr unsat ✅ 345.54500 345.49300
Yices2 Yices 2.6.0_default unknown ❌ 1200.01000 1199.88000
Z3 z3-4.7.1_default unknown ❌ 1200.02000 1199.85000
SMT-COMP 2019 0.25 (6/8) Boolector Boolector-wrapped-sq_default unsat ✅ 9.86005 9.86008
Poolector-wrapped-sq_default unsat ✅ 8.46283 33.09000
Boolector-ReasonLS boolector-ReasonLS-wrapped-sq_default unsat ✅ 21.91390 21.91260
CVC4 CVC4-2019-06-03-d350fe1-wrapped-sq_default unknown ❌ 2400.10000 2399.83000
MinkeyRink MinkeyRink MT-wrapped-sq_default unsat ✅ 413.09300 1631.17000
MinkeyRink ST-wrapped-sq_default unsat ✅ 580.80000 580.67700
Par4 Par4-wrapped-sq_default unsat ✅ 55.33800 165.80000
STP STP-2019-wrapped-sq_default unsat ✅ 934.43100 934.36800
stp-mergesat-fixed-wrapped-sq_default unknown ❌ 2400.02000 2399.60000
stp-minisat-wrapped-sq_default unsat ✅ 322.74800 322.71000
stp-mt-wrapped-sq_default unsat ✅ 424.59700 1670.74000
stp-portfolio-fixed-wrapped-sq_default unknown ❌ 2400.10000 3934.27000
stp-riss-wrapped-sq_default unknown ❌ 3.75747 3.55050
Yices2 Yices 2.6.2-wrapped-sq_default unsat ✅ 1660.84000 1660.62000
Yices 2.6.2 Cadical-wrapped-sq_default unsat ✅ 1392.41000 1392.27000
Yices 2.6.2 Cryptominisat-wrapped-sq_default unsat ✅ 1111.40000 1111.29000
Yices 2.6.2 MCSAT BV-wrapped-sq_default unknown ❌ 2400.05000 2400.05000
Yices 2.6.2 new bvsolver-wrapped-sq_default unsat ✅ 855.34300 855.23900
Z3 z3-4.8.4-d6df51951f4c-wrapped-sq_default unknown ❌ 2400.07000 2399.98000
SMT-COMP 2020 0.33 (6/9) Bitwuzla Bitwuzla-fixed_default unsat ✅ 8.16770 8.16629
Boolector Boolector-wrapped-sq_default unsat ✅ 10.19520 10.19520
Poolector-wrapped-sq_default unsat ✅ 10.60490 41.48000
CVC4 CVC4-sq-final_default unknown ❌ 1200.03000 1199.75000
LazyBV2Int LazyBV2Int20200523_default.sh unknown ❌ 1200.02000 1199.95000
MathSAT MathSAT5_default.sh unsat ✅ 47.41640 47.41740
MinkeyRink MinkeyRink Solver 2020.3.1_default unknown ❌ 3.26346 3.26378
MinkeyRink Solver 2020.3_default unsat ✅ 763.79300 3027.17000
STP STP_default unsat ✅ 590.90800 2234.67000
STP ++ Mergsat v1_default unknown ❌ 1200.10000 1199.93000
Yices2 Yices 2.6.2 bug fix_default unsat ✅ 775.57000 775.50000
Z3 z3-4.8.8_default unknown ❌ 1200.02000 1199.73000
SMT-COMP 2021 0.50 (2/4) Bitwuzla Bitwuzla-fixed_default unsat ✅ 5.25228 5.25252
MathSAT mathsat-5.6.6_default unknown ❌ 1200.06000 1199.84000
STP STP 2021.0_default unsat ✅ 593.94000 2349.42000
Z3 z3-4.8.11_default unknown ❌ 1200.02000 1199.78000
SMT-COMP 2023 0.50 (3/6) Bitwuzla Bitwuzla-fixed_default unsat ✅ 13.48670 13.48610
cvc5 cvc5-default-2023-05-16-ea045f305_sq unknown ❌ 1200.02000 1199.77000
STP STP 2022.4_default unsat ✅ 813.77000 813.60800
STP 2022.4_default unsat ✅ 820.99200 820.92600
UltimateEliminator UltimateIntBlastingWrapper+SMTInterpol_default unknown ❌ 7.67598 21.31240
Yices2 Yices 2 for SMTCOMP 2023_default unknown ❌ 1200.02000 1199.85000
Z3-Owl z3-Owl-Final_default unsat ✅ 642.52800 642.43500
z3-Owl-Final_default unsat ✅ 1164.66000 1164.51000
SMT-COMP 2025 0.56 (4/9) Bitwuzla Bitwuzla unsat ✅ 20.53630 20.41486
Bitwuzla-MachBV-base unsat ✅ 4.88573 4.75383
Bitwuzla-MachBV Bitwuzla-MachBV unsat ✅ 5.36222 5.24414
BVDecide bv_decide unknown ❌ 1203.03665 1203.09947
bv_decide-nokernel unknown ❌ 1202.91921 1202.93505
cvc5 cvc5 unsat ✅ 700.29300 700.09252
SMTInterpol SMTInterpol unknown ❌ 1201.47663 1241.71744
Yices2 Yices2 unknown ❌ 1201.27870 1200.92263
Z3alpha Z3-alpha unknown ❌ 1201.00394 4801.27860
Z3 Z3-alpha-base unknown ❌ 1201.34947 1201.01916
Z3-Owl-base unknown ❌ 1201.32425 1201.11490
z3siri-base unknown ❌ 1201.32007 1201.05579
Z3-Owl Z3-Owl unsat ✅ 432.42423 432.21209